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fomenos
3 years ago
5

Simplify x^2(4(x-2)^3)+2x(x-2)^4

Mathematics
1 answer:
patriot [66]3 years ago
6 0
<span><span><span><span><span><span><span><span><span><span><span><span>4<span>x^5</span></span>+</span>−<span>24<span>x^4</span></span></span>+<span>48<span>x^3</span></span></span>+</span>−<span>32<span>x^2</span></span></span>+<span>2<span>x^5</span></span></span>+</span>−<span>16<span>x^4</span></span></span>+<span>48<span>x^3</span></span></span>+</span>−<span>64<span>x^2</span></span></span>+<span>32<span>x
</span></span><span><span><span><span><span><span><span><span>4<span>x^5</span></span>+<span>−<span>24<span>x^4</span></span></span></span>+<span>48<span>x^3</span></span></span>+<span>−<span>32<span>x^2</span></span></span></span>+<span>2<span>x^5</span></span></span>+<span>−<span>16<span>x^4</span></span></span></span>+<span>48<span>x^3</span></span></span>+<span>−<span>64<span>x^2</span></span></span></span>+<span>32<span>x
</span></span><span><span><span><span>(<span><span>4<span>x^5</span></span>+<span>2<span>x65</span></span></span>)</span>+<span>(<span><span>−<span>24<span>x^4</span></span></span>+<span>−<span>16<span>x^4</span></span></span></span>)</span></span>+<span>(<span><span>48<span>x^3</span></span>+<span>48<span>x^3</span></span></span>)</span></span>+<span>(<span><span>−<span>32<span>x^2</span></span></span>+<span>−<span>64<span>x62</span></span></span></span>)</span></span>+<span>(<span>32x</span><span>)
</span></span><span><span><span><span><span>6<span>x^5</span></span>+<span>−<span>40<span>x^4</span></span></span></span>+<span>96<span>x^3</span></span></span>+<span>−<span>96<span>x^2</span></span></span></span>+<span>32x
Answer: </span></span><span><span><span><span>6<span>x^5</span></span>−<span>40<span>x^4</span></span></span>+<span>96<span>x^3</span></span></span>−<span>96<span>x^2</span></span></span>+<span>32<span>x</span></span>
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